Answer:
x= 8.5, 2x=17, (9x+5)=81.5
Step-by-step explanation:
since the sum of the interior angles of a triangle is 180 degrees, you must add all of the angles and set them equal 180:
next distribute the 2 to 9x + 5.
next combine like terms (2x and 18x) and subtract 10 from 180.
finally, divide 170 by twenty.
the final answer is x=8.5
once x is determined, you can solve 2x and 9x+5.
Answer:
Step-by-step explanation:
Given equation:
To find the angle measure of
Solution:
In order to find the angle measure , we will isolate
on left side by carrying out math operations on both sides.
We have:
Subtracting both sides by
Subtracting both sides by 1°.
Dividing both sides by 3.
Converting fraction to mixed number by dividing and writing the quotient as whole number and the remainder as numerator.
∴ (Answer)
Answer:
The sample needed is
Step-by-step explanation:
From the question we are told that
The margin of error is
The confidence level is
Given that the confidence level is 95% the level of significance is mathematically represented as
Next we obtain the critical value of from the z-table , the value is
The reason we are obtaining critical value of instead of
is because
represents the area under the normal curve where the confidence level interval (
) did not cover which include both the left and right tail while
is just the area of one tail which what we required to calculate the margin of error
The sample size is mathematically represented as
Here is sample proportion of people that supported her and we will assume this to be 50% = 0.5
So